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Finding the Fourth Proportional to 2,604.63, 3,595.57 and 1,661.69

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Solution

The fourth proportional to 2,604.63, 3,595.57 and 1,661.69 is: 2,293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.63 : 3,595.57 = 1,661.69 : x
  2. Step 2: Convert to fraction form
    2,604.63/3,595.57 = 1,661.69/x
  3. Step 3: Cross multiply
    2,604.63x = 3,595.57 × 1,661.69
  4. Step 4: Simplify right side
    2,604.63x = 5,974,727.55
  5. Step 5: Solve for x
    x = 5,974,727.55/2,604.63
  6. Step 6: Final answer
    x = 2,293.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.